-(2x^2-9x+9)=

Solution for -(2x^2-9x+9)= equation:

Simplifying
-1(2x2 + -9x + 9) = 0

Reorder the terms:
-1(9 + -9x + 2x2) = 0
(9 * -1 + -9x * -1 + 2x2 * -1) = 0
(-9 + 9x + -2x2) = 0

Solving
-9 + 9x + -2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + x)(3 + -2x) = 0

Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {3, 1.5}